Linear identities for partition pairs with $4$-cores
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912893202595840 |
|---|---|
| author | Guadalupe, Russelle |
| author_facet | Guadalupe, Russelle |
| contents | We determine an infinite family of linear identities for the number $A_4(n)$ of partition pairs of $n$ with $4$-cores by employing elementary $q$-series techniques and certain $3$-dissection formulas. We then discover an infinite family of congruences for $A_4(n)$ as a consequence of these linear identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10438 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear identities for partition pairs with $4$-cores Guadalupe, Russelle Number Theory Combinatorics 11P83, 05A17, 11F27 We determine an infinite family of linear identities for the number $A_4(n)$ of partition pairs of $n$ with $4$-cores by employing elementary $q$-series techniques and certain $3$-dissection formulas. We then discover an infinite family of congruences for $A_4(n)$ as a consequence of these linear identities. |
| title | Linear identities for partition pairs with $4$-cores |
| topic | Number Theory Combinatorics 11P83, 05A17, 11F27 |
| url | https://arxiv.org/abs/2601.10438 |